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Equivariant Cohomology and Localization of Path Integrals

This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integ...

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Bibliographic Details
Main Author: Szabo, Richard J.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2000, 2000
Edition:1st ed. 2000
Series:Lecture Notes in Physics Monographs
Subjects:
Algebraic Topology
Nuclear Physics
Quantum Field Theory
Elementary Particles (physics)
Nuclear And Particle Physics
Elementary Particles, Quantum Field Theory
Topology
Mathematical Physics
Manifolds (mathematics)
Global Analysis (mathematics)
Global Analysis And Analysis On Manifolds
Mathematical Methods In Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Equivariant Cohomology and the Localization Principle
  • Finite-Dimensional Localization Theory for Dynamical Systems
  • Quantum Localization Theory for Phase Space Path Integrals
  • Equivariant Localization on Simply Connected Phase Spaces: Applications to Quantum Mechanics, Group Theory and Spin Systems
  • Equivariant Localization on Multiply Connected Phase Spaces: Applications to Homology and Modular Representations
  • Beyond the Semi-Classical Approximation
  • Equivariant Localization in Cohomological Field Theory
  • Appendix A: BRST Quantization
  • Appendix B: Other Models of Equivariant Cohomology

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